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Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations

Author

Listed:
  • Behzad Azmi

    (University of Konstanz)

  • Sérgio S. Rodrigues

    (Johann Radon Institute for Computational and Applied Mathematics (RICAM), ÖAW)

Abstract

A receding horizon control framework is coupled with a Luenberger observer to construct an output-based control input stabilizing parabolic equations. The actuators and sensors are indicator functions of small subdomains, representing localized actuation and localized measurements. It is shown that, for a class of explicitly given sets of actuators and sensors, we can guarantee the stabilizing property of the constructed input. Results of numerical simulations are presented validating the theoretical findings.

Suggested Citation

  • Behzad Azmi & Sérgio S. Rodrigues, 2025. "Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations," Journal of Optimization Theory and Applications, Springer, vol. 205(1), pages 1-34, April.
    • Handle: RePEc:spr:joptap:v:205:y:2025:i:1:d:10.1007_s10957-025-02628-1
    DOI: 10.1007/s10957-025-02628-1
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    References listed on IDEAS

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    1. Behzad Azmi & Karl Kunisch, 2020. "Analysis of the Barzilai-Borwein Step-Sizes for Problems in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 185(3), pages 819-844, June.
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